Question

The cone shaped container for the a kid not treats holds 218 cm³ of ants and has a radius of 4 cm rounded to the nearest whole number what is the height of the container used 3.14 for pi

Answer 1

Answer:
`h\approx13`

Explanation:

For this exercise you need o use the following formula for calculate the volume of a cone. This is:

`V=(1)/(3)\pi r^2 h`

Where "r" is the radius and "h" is the height of the cone.

In this case you can identify that:

`V= 218 cm^3\\\\r=4\ cm\\\\\pi =3.14`

Now you must substitute these values into the formula:

`218\ cm^3=(1)/(3)(3.14) (4\ cm)^2 h\\\\218\ cm^3=(16.746\ cm^2) h\\\\(218\ cm^3)/(16.746\ cm^2)\\\\h\approx13\ cm`